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tau n.  and  untouchable n.

First numbers that belong to both sets:

2, 88, 96, 248, 276, 288, 372, 448, 472, 516, 584, 612, 708, 732, 792, 804, 852, 872, 896, 936, 996, 1044, 1068, 1116, 1192, 1200, 1212, 1236, 1248, 1256, 1332, 1360, 1476, 1528, 1632, 1680, 1692, 1816, 1840, 1884, 1920, 1944, 1956, 2008, 2148, 2152, 2168, 2178, 2196, 2232, 2248, 2316, 2364, 2388, 2432, 2628, 2640, 2724, 2748, 2784, 2824, 2944, 2952, 2984, 3060, 3156, 3208, 3228, 3276, 3384, 3396, 3420, 3448, 3592, 3600, 3636, 3656, 3684, 3708, 3744, 3760, 3816, 3832, 3936, 3972, 4032, 4056, 4068, 4072, 4168, 4184, 4188, 4224, 4248, 4308, 4320, 4476, 4480, 4500, 4512, 4668, 4764, 4808, 4856, 4860, 4896, 4908, 4928, 5144, 5202, 5224, 5256, 5292, 5316, 5360, 5364, 5556, 5604, 5664, 5680, 5748, 5760, 5796, 5912, 6000, 6036, 6108, 6160, 6184, 6228, 6240, 6276, 6296, 6498, 6516, 6528, 6624, 6632, 6684, 6816, 6852, 6856, 6876, 6904, 7064, 7092, 7164, 7272, 7280, 7356, 7380, 7392, 7416, 7428, 7432, 7528, 7572, 7616, 7680, 7716, 7740, 7764, 7768, 7848, 7864, 7932, 7956, 7976, 8028, 8064, 8080, 8100, 8136, 8152, 8160, 8352, 8412, 8488, 8508, 8512, 8552, 8676, 8724, 8728, 8872, 8892, 8916, 9084, 9088, 9120, 9144, 9368, 9408, 9444, 9448, 9504, 9544, 9564, 9600, 9608, 9684, 9708, 9732, 9756, 9848, 9856, 9864, 9876, 9896, 9948, 9972, 10116, 10232, 10264, 10308, 10328, 10376, 10548, 10620, 10656, 10764, 10836, 10880, 10888, 10932, 11040, 11136, 11196, 11232, 11268, 11272, 11304, 11340, 11364, 11432, 11436, 11464, 11512, 11608, 11628, 11652, 11672, 11760, 11768, 11796, 11896, 11964, 12000, 12060, 12080, 12096, 12132, 12168, 12248, 12276, 12456, 12468, 12536, 12568, 12588, 12600, 12632, 12636, 12696, 12708, 12732, 12756, 12808, 12828, 12872, 12880, 12888, 12928, 12952, 12992, 13016, 13068, 13092, 13140, 13212.

Some larger examples :